Estimation of Structural Parameters in Time Domain Using One Dimensional Piezo Zirconium Titanium Patch Model

This article presents a method of using the one
dimensional piezo-electric patch on beam model for structural
identification. A hybrid element constituted of one dimensional
beam element and a PZT sensor is used with reduced material
properties. This model is convenient and simple for identification
of beams. Accuracy of this element is first verified against a
corresponding 3D finite element model (FEM). The structural
identification is carried out as an inverse problem whereby
parameters are identified by minimizing the deviation between
the predicted and measured voltage response of the patch, when
subjected to excitation. A non-classical optimization algorithm
Particle Swarm Optimization is used to minimize this objective
function. The signals are polluted with 5% Gaussian noise to
simulate experimental noise. The proposed method is applied on
beam structure and identified parameters are stiffness and damping.
The model is also validated experimentally.





References:
[1] Joo Sung Kang and Seung-Keun Park and Soobong Shin and Hae Sung
Lee, Structural system identification in time domain using measured
acceleration,
[2] Doebling, S. W., C. R. Farrar and M. B. Prime., A summary review
of vibration-based damage identification methods.Shock and vibration
digest., 30(2) (1998) pp. 91–105.
[3] Cibu K. Varghese and K. Shankar, Crack identification using combined
power flow and acceleration matching technique, Inverse Problems in
Science and Engineering., 20(8) (2012) pp. 1239–1257.
[4] Peter Sadilek and Robert Zemcik, Frequency Response Analysis of
Hybrid Piezoelectric Cantilever Beam, Engineering Mechanics., 17(3)
(2010) pp. 73–82.
[5] I. M. Bendary, M. Adnan Ellshafei* and A. M. Riad, Finite Element
Model of Smart Beams with Distributed Piezoelectric Actuators, Journal
of Intelligent Material Systems and Structures., 21 (2010) pp. 747–758.
[6] Kennedy James and Russell Eberhart, Particle swarm optimization,
Neural Networks, 1995. Proceedings., IEEE International Conference
onh., Volume 4 (1995) pp. 1942–1948.
[7] S. Sandesh and K. Shankar, Time Domain Identification of StructuralL
Parameres And Input Time History Using a SubStructural approach,
International Journal of Structural Stability and Dynamics., 9(2) (2009)
pp. 243–265.
[8] R. E. Perez and K. Behdinan, Particle swarm approach for structural
design optimization, Computers & Structures , Volume 85 (2007) pp.
1579–1588.
[9] Santhosh Kapuria and Peter Hagedotn, Unified Efficient Layerwise
Theory For Smart Beams With Segmented Extension/shear Mode
Piezoelectric Actuators and Sensors